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arXiv:1510.02931math-ph

Four lectures on quasi-local mass

Mu-Tao Wang

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Abstract

This note is based on a series of four lectures the author gave at University of Montpellier, September 28-30, 2015. He started with the notion of mass in general relativity, gave a brief review of some known constructions of quasi-local mass, and then discussed the new quasi-local energy and quasi-local mass which Shing-Tung Yau and the author introduced in 2009. At the end, the proof of the positivity of quasi-local energy was sketched and a stability theorem of critical points of quasi-local energy by Po-Ning Chen, Shing-Tung Yau, and the author was discussed.

arXiv comments
19 pages, 1 figure
Journal reference
DOI
Subjects
math-phMathematical Physics gr-qcGeneral Relativity and Quantum Cosmology

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